#28284 ⟨
a
,
b
|
aa
=1,
bbabb
=
babb
⟩
Up:
Monoids with two generators and two relations
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#28275
⟨
a
,
b
|
aa
=1,
babbb
=
bbbb
⟩
Next:
#28285
⟨
a
,
b
|
aa
=1,
bbabb
=
bbbb
⟩
Properties
Presentation has sum-of-sides 11
Infinite non-commutative monoid
Complete rewriting system
Format:
Pretty
Plain
Word to reduce:
Tips:
Lowercase letters stand for generators.
Spaces are ignored.
Numbers repeat the previous letter, e.g.
b90
.
Reduction strategy:
Leftmost
Rightmost
Path to normal form:
1
1
Reduction order:
Left-to-right shortlex with
a
<
c
<
b
Auxiliary generator:
bb=c
a
2
⇒ 1
bc
⇒
cb
b
2
⇒
c
bac
⇒
cac
c
2
ac
⇒
cac
# ab:aa=1,bbabb=babb acb bb=c frequency:2/0 aa=1 bc=cb bb=c bac=cac ccac=cac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
